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Finding the Third Proportional to 317,184 and 490,912

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Solution

The third proportional to 317,184 and 490,912 is: 759,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,184 : 490,912 = 490,912 : x
  2. Step 2: Convert to fraction form
    317,184/490,912 = 490,912/x
  3. Step 3: Cross multiply
    317,184x = 490,912 × 490,912
  4. Step 4: Simplify right side
    317,184x = 240,994,591,744
  5. Step 5: Solve for x
    x = 240,994,591,744/317,184
  6. Step 6: Final answer
    x = 759,794.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.